Once more nice equations for nice groups

Authors:
Shreeram S. Abhyankar and Paul A. Loomis

Journal:
Proc. Amer. Math. Soc. **126** (1998), 1885-1896

MSC (1991):
Primary 12F10, 14H30, 20D06, 20E22

DOI:
https://doi.org/10.1090/S0002-9939-98-04421-9

MathSciNet review:
1459101

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Abstract | References | Similar Articles | Additional Information

Abstract: In a previous paper, nice quintinomial equations were given for unramified coverings of the affine line in nonzero characteristic with the projective symplectic isometry group PSp and the (vectorial) symplectic isometry group Sp as Galois groups where is any integer and is any power of . Here we deform these equations to get nice quintinomial equations for unramified coverings of the once punctured affine line in characteristic with the projective symplectic similitude group PGSp and the (vectorial) symplectic similitude group GSp as Galois groups.

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Additional Information

**Shreeram S. Abhyankar**

Affiliation:
Department of Mathematics, Purdue University, West Lafayette, Indiana 47907

Email:
ram@cs.purdue.edu

**Paul A. Loomis**

Affiliation:
Department of Mathematics, Purdue University, West Lafayette, Indiana 47907

Email:
loomisp@math.purdue.edu

DOI:
https://doi.org/10.1090/S0002-9939-98-04421-9

Received by editor(s):
December 1, 1996

Additional Notes:
The first author’s work was partly supported by NSA grant MDA 904-97-1-0010, and the second author’s work was partly supported by a PRF grant at Purdue University.

Communicated by:
Ronald M. Solomon

Article copyright:
© Copyright 1998
American Mathematical Society